Interval valued fuzzy sets based on normal forms
Fuzzy Sets and Systems
Interval valued intuitionistic fuzzy sets
Fuzzy Sets and Systems
Entropy, distance measure and similarity measure of fuzzy sets and their relations
Fuzzy Sets and Systems
New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions
Pattern Recognition Letters
Similarity measures of intuitionistic fuzzy sets based on L p metric
International Journal of Approximate Reasoning
New neutrosophic approach to image segmentation
Pattern Recognition
Expert Systems with Applications: An International Journal
Fuzzy Sets and Systems
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An interval neutrosophic set is an instance of a neutrosophic set, which can be used in real scientific and engineering applications. In the paper, the Hamming and Euclidean distances between interval neutrosophic sets INSs are defined and the similarity measures between INSs are proposed based on the relationship between similarity measures and distances. In the applications of the similarity measures, a multicriteria decision-making method is established in interval neutrosophic setting, in which criterion values with respect to alternatives are evaluated by the form of interval neutrosophic values INVs and the criterion weights are known information. We utilize the similarity measures between each alternative and the ideal alternative to rank the alternatives and to determine the best one. Finally, an illustrative example demonstrates the applications of the proposed decision-making method.